101210122013 has 64 divisors (see below), whose sum is σ = 151457402880. Its totient is φ = 64909900800.

The previous prime is 101210122009. The next prime is 101210122019. The reversal of 101210122013 is 310221012101.

It is a cyclic number.

It is not a de Polignac number, because 101210122013 - 2² = 101210122009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210122019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166808 + ... + 479838.

It is an arithmetic number, because the mean of its divisors is an integer number (2366521920).

Almost surely, 2^101210122013 is an apocalyptic number.

101210122013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101210122013 is a deficient number, since it is larger than the sum of its proper divisors (50247280867).

101210122013 is a wasteful number, since it uses less digits than its factorization.

101210122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313098.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101210122013 its reverse (310221012101), we get a palindrome (411431134114).

The spelling of 101210122013 in words is "one hundred one billion, two hundred ten million, one hundred twenty-two thousand, thirteen".